Basic analysis, Global Analysis

2022
The Open University of Japan

2021
Shinshu University Department of Mathematical Sciences, Faculty of Science Associate Professor

2020 - 2021
The Open University of Japan

2020 - 2021
Center for Research and Development Strategy

2020 - 2021
Osaka University Center for Mathematical Modeling and Data Science specially appointed lecturer

2015 - 2020
Osaka University

2013 - 2015
Osaka University

2006 - 2007
Tokyo institute of technology

2004 - 2006
Kanto Gakuin University College of Engineering

2004 - 2008
The Open University of Japan Study Centers

2001 - 2006
Shibaura Institute of Technology College of Engineering

2000 - 2006
Shonan Institute of Technology Faculty of Engineering

2011 - 2014, Osaka University, Doctor of Philosophy

1993 - 1995, Tokyo Institute of Technology, Master of Science

1990 - 1993, Tokyo Institute of Technology, Bachelor of Science, Department of Physics

Generic properties of the Neumann-Poincare operator: simplicity of eigenvalues and cyclic vectors
Kazunori Ando, Hyoenbae Kang, Yoshihisa Miyanishi, Mihai Putinar
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, To appear(To appear), Mar. 2025, Refereed, Not invited

Decay rate of the eigenvalues of the Neumann-Poincare operator
S. Fukushima, H. Kang, Y. Miyanishi
Potential Analysis, Published Online, Dec. 2023
Last

A short note on decay rates of odd partitions: An application of spectral asymptotics of the Neumann–Poincare operators
Yoshihisa Miyanishi
Archiv der Mathematik, 121, 419-424, Sep. 2023
Lead, Last, Corresponding

Spectral properties of the Neumann-Poincare operator and cloaking by anomalous localized resonance: a review
S. Fukushima, Yonggwan Ji, H. Kang and Y, Miyanishi
The Journal of the Korean Society for Industrial and Applied Mathematics, Vol.27(No.2), 87-108, Jul. 2023, Refereed
Last

Spectral structure of the Neumann-Poincare operator on thin ellipsoids and flat domains
Kazunori Ando, Hyeonbae Kang, Sanghyuk Lee, Yoshihisa Miyanishi
SIAM Journal on Mathematical Analysis, Nov. 2022, Refereed
Last

Weyl’s law for the eigenvalues of the Neumann–Poincare operators in three dimensions: Willmore energy and surface geometry
Yoshihisa Miyanishi
Advances in Mathematics, 406, Sep. 2022
Lead, Last, Corresponding

Spectral structure of the Neumann-Poincaré operator on thin domains in two dimensions
Kazunori Ando,Hyeonbae Kang,Yoshihisa Miyanishi
Journal d’Analyse Mathématique, Jun. 2022, Refereed

Surface localization of plasmons in three dimensions and convexity
Kazunori Ando,Hyeonbae Kang,Yoshihisa Miyanishi,Takashi Nakazawa
SIAM JOURNAL ON APPLIED MATHEMATICS, Mar. 2021, Refereed
Lead, Last, Corresponding

Convergence rate for eigenvalues of the elastic Neumann-Poincaré operator in two dimensions
Kazunori Ando,Hyeonbae Kang,Yoshihisa Miyanishi
Journal de Mathématiques Pures et Appliquées, Aug. 2020, Refereed
Lead, Last, Corresponding

Spectral analysis of Neumann-Poincare operator
Kazunori Ando,Hyoenbae Kang,Yoshihisa Miyanishi,Mihai Putinar
Revue Roumaine Math. Pures Appl., Jun. 2020, Refereed

Spectral Properties of the Neumann–Poincaré Operator in 3D Elasticity
Yoshihisa Miyanishi, Grigori Rozenblum
International Mathematics Research Notices, 2021(11), 8715-8740, 11 Jan. 2020, Refereed
Lead, Corresponding

Spectral structure of the Neumann--Poincare operator on tori
K. Ando,Yong-Wang Ji,H. Kang,D. Kawagoe,Yoshihisa Miyanishi
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Jun. 2019, Refereed
Last

Eigenvalues of the Neumann-Poincare operator in dimension 3: Weyl's law and geometry
Yoshihisa Miyanishi,Grigori Rosenblum
St. Petersburg Mathematical Journal, 2019, Refereed
Lead

Spectral Structure of Elastic Neumann-Poincaré Operators
Yoshihisa Miyanishi,Kazunori Ando,Hyeonbae Kang
Journal of Physics: Conference Series, 965(1), Feb. 2018, Refereed

The First Hadamard variation of Neumann-Poincare eigenvalues on the sphere
Y. Miyanishi,K. Ando,H. Kang,E. Ushikoshi
Proc. Amer. Math. Soc., 2018, Refereed

Exponential decay estimates of the eigenvalues for the Neumann-Poincare operator on analytic boundaries in two dimensions
K. Ando,H. Kang,Y. Miyanishi
Journal of Integral Equations and Applications, 2018, Refereed
Last

EIGENVALUES AND EIGENFUNCTIONS OF DOUBLE LAYER POTENTIALS
Yoshihisa Miyanishi,Takashi Suzuki
Transactions of the American Mathematical Society, 369(11), 8037-8059, Nov. 2017, Refereed

Elastic Neumann-Poincar?e operators in three dimensions: Polynomial compactness and spectral structure
Y. Miyanishi,K. Ando,H. Kang
Int. Math. Res. Notices, 2017, Refereed
Lead, Corresponding

Low energy approximations of the Feynman path integral for Schrodinger evolution operators
Yoshihisa Miyanishi
大阪大学, Mar. 2014, Refereed

Remarks on low-energy approximations for Feynman path integration on the sphere
Yoshihisa Miyanishi
Adv. Math. Appl. Anal., 9(1), 41-61, 2014, Refereed

A remark on the eigenvalue distribution of Laplacian in quasi-bounded domains
宮西 吉久
東京工業大学, Mar. 1996, Refereed

The spectral theory of the Neumann–Poincare operator on convex domains
Yoshihisa Miyanishi
RIMS Kokyuroku, 2235, 118 - 123, Dec. 2022, Invited
Lead, Last, Corresponding

Notes on spectral clusters for semiclassical Schr}odinger operators
Yoshihisa Miyanishi
RIMS Kokyuroku, 2023, 29 - 34, 2016, Not invited
http://hdl.handle.net/2433/231787

A remark on Laplace Eigenfunctions on M3A
Yoshihisa Miyanishi
北海道大学 数学講究録, 89, 135 - 138, 2006, Not invited

A remark on the equi-distribution of generalized eigenfunctions
Yoshihisa Miyanishi
北海道大学 数学講究録, 104, 61 - 68, 2005, Not invited

固有関数漸近挙動と古典エルゴード性 : 一般 HAMILTON系が ERGODICである為の半古典固有関数に対する必要十分条件(スペクトル・散乱理論とその周辺)
宮西 吉久
RIMS Kokyuroku, 994, 138 - 154, 2000, Not invited
http://ci.nii.ac.jp/naid/110004066232

A REMARK ON THE NON-SCARRING OF $-\triangle u_j=\lambda_j u_{j \cdot}$ (Microlocal Analysis of the Schrodinger Equation and Related Topics)
Miyanishi Yoshihisa
RIMS Kokyuroku, 1176, 18 - 25, Nov. 2000, Not invited
http://ci.nii.ac.jp/naid/110000164859

SEMICLASSICAL ERGODICITY AND THE RELATED PROBLEMS (Spectral and Scattering Theory and Its Related Topics)
Miyanisi Yosihisa
RIMS Kokyuroku, 1156, 27 - 34, May 2000, Not invited
http://ci.nii.ac.jp/naid/110000164545

Riemannian manifolds with uniformly bounded eigenfunctions
Yoshihisa Miyanishi
ランダム行列とその周辺(筑波大学), 43 - 47, 2000, Not invited

Quantum ergodicity and the related problems
Yoshihisa Miyanishi
微分方程式の解の研究の新展開(東京工業大学), 132 - 138, 1998, Not invited

データサイエンスリテラシー : モデルカリキュラム準拠
数理人材育成協会, Contributor, 第2章から第4章
培風館, Nov. 2021
ISBN:9784563016135

解析入門―例を中心として
宮西 吉久, Single work
学術図書出版社, May 2006
ISBN:4873618347

Functional Analysis
Apr. 2024 - Jul. 2024
Shinshu university

Calculus I
Apr. 2024 - Jul. 2024
Shinshu university

Exercise in Calculus Ⅱ
Oct. 2024 - Jan. 2025
Shinshu university

Calculus Ⅱ
Oct. 2024 - Jan. 2025
Shinshu university

Advanced Calculus Ⅱ
Oct. 2024 - Jan. 2025
Shinshu university

Exercise in CalculusI
Shinshu University

CalculusI
Shinshu University

Exercise in CalculusII
Shinshu University

CalculusII
Shinshu University

Functional Analysis
Shinshu University

Functional Analysis
Shinshu University

Calculus II
Shinshu University

Exercise in Calculus II
Shinshu University

Calculus I
Shinshu University

Exercise in Calculus I
Shinshu University

Exercise in Calculus I
Shinshu University

Calculus I
Shinshu University

Exercise in Calculus II
Shinshu University

Calculus II
Shinshu University

Functional Analysis
Shinshu University

The Mathematical Society of Japan

American Mathematical Society

Society for Industrial and Applied Mathematics

Inverse Problems International Association (IPIA)

Mathematical Association of America

ノイマン・ポアンカレ作用素のスペクトル理論と一般化された積分作用素への拡張
科学研究費補助金, 日本学術振興会, 若手研究
Apr. 2021 - Mar. 2023

ノイマン-ポアンカレ作用素のスペクトル解析とプラズモン共鳴現象への応用
科学研究費補助金, 日本学術振興会, 基盤研究(C)
Apr. 2020 - Mar. 2024

ノイマン・ポアンカレ作用素のスペクトル理論
科学研究費補助金, 日本学術振興会, 若手研究
Apr. 2019 - Mar. 2021

多成分偏微分方程式系の解析的研究
科学研究費補助金, 日本学術振興会, 基盤研究(B)
Apr. 2019 - Mar. 2021

ノイマン-ポアンカレ作用素のスペクトル解析とその応用
科学研究費補助金, 日本学術振興会, 基盤研究(C)
Apr. 2017 - Mar. 2020

Neumann—Poincaré Operator, Layer Potential Theory, Plasmonics and Related Topics
Planning etc
ICIAM 2023, Waseda University, Tokyo, Japan, 20 Aug. 2023 - 25 Aug. 2023

Planning etc
Mini-Workshop on Mathematical Analysis and Related Topics, ZOOM, 17 Jan. 2022 - 17 Jan. 2022

Others
Communications on Analysis and Computation (CAC), American Institute of Mathematical Sciences